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math.DG2010★ 6 cited
The second variational formula of the k-energy and k-harmonic curves
Shun Maeta
J.Eells and L. Lemaire introduced -harmonic maps, and Wang Shaobo showed the first variation formula. In this paper, we give the second variation formula of -energy, and give…
math.DG2010★ 1 cited
k-harmonic curves into a Riemannian manifold with constant sectional curvature
Shun Maeta
J.Eells and L. Lemaire introduced k-harmonic maps, and T. Ichiyama, J. Inoguchi and H.Urakawa showed the first variation formula. In this paper, we describe the ordinary differenti…
math.DG2010★ 2 cited
Geometry of k-harmonic maps and the second variational formula of the k-energy
Shun Maeta
J.Eells and L. Lemaire introduced k-harmonic maps, and T. Ichiyama, J. Inoguchi and H.Urakawa showed the first variation formula. In this paper, we give the second variation formul…